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hal-00449900, version 1

Ultraparabolic H-measures and compensated compactness

E. Yu. Panov (Author to contact preferably) 1, 2

(2010-01-23)

Abstract: We present a generalization of compensated compactness theory to the case of variable and generally discontinuous coefficients, both in the quadratic form and in the linear, up to the second order, constraints. The main tool is the localization properties for ultra-parabolic H-measures corresponding to weakly convergent sequences.

  • 1:  Laboratoire de Mathématiques (LM-Besançon)
  • CNRS : UMR6623 – Université de Franche-Comté
  • 2:  Novgorod State University
  • Novgorod State University
  • Collaboration : Russian Foundation for Basic Research (grant No. 09-01-00490-a) ; Deutsche Forschungsgemeinschaft (DFG project No. 436 RUS 113/895/0-1)
  • Domain : Mathematics/Analysis of PDEs
    Mathematics/Functional Analysis
 
  • hal-00449900, version 1
  • http://hal.archives-ouvertes.fr/hal-00449900
  • oai:hal.archives-ouvertes.fr:hal-00449900
  • From: Boris Andreianov <>
  • Submitted on: Saturday, 23 January 2010 17:57:43
  • Updated on: Saturday, 23 January 2010 20:57:52